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Finding the Third Proportional to 12,126,766,705.50 and 26,388,906,709.50

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Solution

The third proportional to 12,126,766,705.50 and 26,388,906,709.50 is: 57,424,572,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126,766,705.50 : 26,388,906,709.50 = 26,388,906,709.50 : x
  2. Step 2: Convert to fraction form
    12,126,766,705.50/26,388,906,709.50 = 26,388,906,709.50/x
  3. Step 3: Cross multiply
    12,126,766,705.50x = 26,388,906,709.50 × 26,388,906,709.50
  4. Step 4: Simplify right side
    12,126,766,705.50x = 696,374,397,322,694,098,944
  5. Step 5: Solve for x
    x = 696,374,397,322,694,098,944/12,126,766,705.50
  6. Step 6: Final answer
    x = 57,424,572,784.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.